An executive flew in the corporate jet to a meeting in a city 1500 kilometers away. After traveling the same amount of time on the return flight, the pilot mentioned that they still had 300 kilometers to go. The air speed of the plane was 600 kilometers per hour. How fast was the wind blowing? (Assume that the wind direction was parallel to the flight path and constant all day).

The problem isn't clear if the wind was blowing on the first part of the trip. I have assumed it was not.
distance = rate x time or
time = d/r
For the trip out, we have time = 1500/600
For the trip back we have 1200/r. The times are the same so we set them equal.
1500/600 = 1200/r
solve for r. I have 480 km/hr so the wind must have been blowing 600-48- = 120 km/hr.
You can check this by checking the time.
time for trip out is 1500/600 = 2.5 hrs.
time for trip back is 1200/480 =2.5 hrs.

If the wind blew on the way out you must make some adjustments to the above.

Answer this Question

First Name:

School Subject:

Answer:

Related Questions

Algebra - An executive flew in the corporate jet to a meeting in a city 1700 ...
Alg 2 hon - An executive flew in the corporate to a meeting in a city 1500 km ...
College Algebra - A jet flies from Atlanta to Dubuque a distance of 900 miles. ...
Math - Two planes started at the same time from two airports that are 3600 ...
physics - A jumbo jet taxiing down the runway receives word that it must return ...
Algebra: 8th Grade; Equation Check - 1) A private airplane leaves an airport and...
Math - An airplane flies 500 mi/h in still air. Flying with the jet stream, the ...
Math (URGENT) - A word problem. David flew 300km on a commuter plane, then ...
Algebra 2 - The point of no return for an airplane, flying over water from point...
Pre-Algebra - A Jet airplane leaves an airport traveling at a steady rate of ...